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Finding the Third Proportional to 95,256 and 145,917

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Solution

The third proportional to 95,256 and 145,917 is: 223,521.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,256 : 145,917 = 145,917 : x
  2. Step 2: Convert to fraction form
    95,256/145,917 = 145,917/x
  3. Step 3: Cross multiply
    95,256x = 145,917 × 145,917
  4. Step 4: Simplify right side
    95,256x = 21,291,770,889
  5. Step 5: Solve for x
    x = 21,291,770,889/95,256
  6. Step 6: Final answer
    x = 223,521.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.